反映作战协同的兵力损耗微分方程  

Force Loss Model of Cooperative Operation based on Lanchester Equation

作　　者：黄一斌[1] 周电杰[1] 潘高田[1] 王宝恒[1] 

机构地区：[1]装甲兵工程学院,北京100072

出　　处：《火力与指挥控制》2009年第6期94-95,99,共3页Fire Control & Command Control

摘　　要：基于现代战争作战体系对抗中作战单位损耗相关性,在兰彻斯特平方律基础上引入协同系数概念,加入相关性指标,建立了反映作战协同的兵力损耗微分方程。以作战双方各有两个作战单位参战的具体模型为例进行分析,给出了随战斗时间演变的作战双方兵力变化值,绘出了相应兵力损耗曲线。分析结果表明,在作战双方初始战斗力不等的情况下,协同水平的高低有可能成为决定战斗结果的关键因素。该兵力损耗模型对于研究现代协同作战具有一定意义。Based on the force loss relativity between operation units, the paper builds the force loss model of cooperative operation by transformation of lanchester square theorem, adding cooperative coefficient. A model which has two operation units each is given with its relative data and evolutive curve. Analysis indicates that, the level of cooperation may be the key factor to the result of a war. The model is of significance to research on cooperative operation.

关 键 词：兰彻斯特方程 平方律 协同作战 协同系数 

分 类 号：E911[军事] E837